Lesson 10.1 Algebra II

-2

64

88

-1

64

-8

-1

75

$$\left(-\infty,\infty\right)$$

$$All\ Reals\ except\ 0.$$

$$\left(-\infty,-2\right)\ U\ \left(-2,\infty\right)$$

x-int. (0,2) & y-int. (-3,0)

x-int. (0,1) & y-int. (2,0)

(0,0)

Horizontal Shift one unit Right

Vertical Shift one unit Up

Vertical Shift Down one unit.

(0,4.5)

(0,2)

(0,1)

Horizontal Shift Up 8 units.

Vertical Shift Down 8 units.

Reflection accross the x-axis.

Horizontal Shift 2 units to the right.

Horizontal Shift 2 units to the left.

Vertical shift up 2 units.

(1,0)

(4.0)

(2,0)

Vertical Shift up 2 units.

Horizontal Shift one unit to the left.

Horizontal Shift one unit to the right.

Vertical compression by the factor 0.5.

Vertical stretch by the factor 0.5.

Up by 0.5 units.

No change.

Vertical Compression by the factor 4 and reflection across the y-axis.

Vertical Stretch by the factor 4 and reflection across the x-axis.

There is no change.

The symmetry does change.

Horizontal Stretch by the factor 1/2.

Horizontal Compression by the factor 1/2.

Up by 1/2 units.